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Spin–Spin Coupling Constant: Overview01:08

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In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
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Vicinal or three-bond coupling is commonly observed between protons attached to adjacent carbons. Here, nuclear spin information is primarily transferred via electron spin interactions between adjacent C‑H bond orbitals. This generally favors the antiparallel arrangement of spins, so 3J values are usually positive.
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the...
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Atomic Nuclei: Nuclear Spin State Overview01:03

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NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
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Spin–Spin Coupling: One-Bond Coupling01:17

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Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
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Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
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Atomic Nuclei: Nuclear Spin01:08

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All atomic particles possess an intrinsic angular momentum, or 'spin'. Electrons, protons, and neutrons each have a spin value of ½, although protons and neutrons in nuclei may have higher half-integer spins owing to energetic factors.
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Localized Spin Rotations: A Size-Consistent Approach to Nonorthogonal Configuration Interaction.

Nicholas Lee1, Alex J W Thom1

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This study introduces a novel spin rotation method for nonorthogonal configuration interaction (NOCI) calculations. The new approach ensures spin-pure states and size-consistent descriptions for molecular dissociation, improving upon existing NOCI methods.

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Area of Science:

  • Quantum Chemistry
  • Computational Chemistry
  • Theoretical Chemistry

Background:

  • Current nonorthogonal configuration interaction (NOCI) methods rely on chemically intuitive selections of self-consistent field (SCF) states.
  • Tracking these SCF states during molecular dissociation can be difficult, and resulting NOCI states may suffer from spin contamination.

Purpose of the Study:

  • To develop an improved NOCI methodology that addresses challenges in state selection and spin contamination.
  • To provide a robust and accurate computational approach for studying molecular dissociation and electronic structure.

Main Methods:

  • A novel method applying spin rotation to symmetry broken unrestricted Hartree-Fock (sb-UHF) states to generate a basis for NOCI.
  • Examination of ethene dissociation by localizing spin rotation on carbene fragments.
  • Comparison with dissociation studies using canonical UHF and absolutely localized molecular orbitals (ALMO).

Main Results:

  • The proposed method yields a size-consistent description of molecular dissociation.
  • Spin-pure states are obtained across all geometries.
  • The method successfully restores spin symmetry for symmetry-broken SCF wave functions in various molecules.

Conclusions:

  • The developed spin rotation technique offers a significant improvement over existing NOCI methods.
  • This approach provides accurate and spin-pure electronic structure descriptions, particularly for dissociating systems.
  • The method's applicability to diverse molecular systems highlights its potential for broader use in computational chemistry.